Find the integrals of the function `sin^2(2x+5)`

Explanation

To find the integral of the function \( \sin^2(2x + 5) \), we can use a trigonometric identity to simplify the expression before integrating. Here’s a step-by-step solution:

### Step 1: Use the Trigonometric Identity
We know that:
\[ \sin^2 \theta = \frac{1 - \cos(2\theta)}{2} \]
In our case, let \( \theta = 2x + 5 \). Thus, we can rewrite \( \sin^2(2x + 5) \) as:
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